Question

The intensity of light transmitted by the analyzer is maximum when?

Answer 1

The intensity of light transmitted by the analyzer :

1. According to Malus' law, the intensity of plane-polarized light passing through an analyzer tends to vary as the square of the cosine of the angle between the polarizer's plane and the analyzer's transmission axis.
2. The law basically allows us to verify the nature of polarised light statistically.
3. Regardless of how the polarising axis is oriented, when unpolarized light is incident on a perfect polarizer, the intensity of the transmitted light is generally precisely half that of the incident unpolarized light.
4. When linearly the polarised light basically travels through a second polarizer (analyzer), its polarizing axis creates an angle (d) with the first polarizer's polarizing axis.
5. As the intensity of an electromagnetic wave is proportional to the square of its amplitude, the transmitted to incident amplitude ratio is $\cos \varphi$, and the transmitted to incident intensity ratio is .
6. For, $$\theta =0^{o}or{180}^o$$, Malus law $$I\alpha co{s}^2\theta$$ can be stated as:
7. $$I=I_{o}co{s}^2{0}^o=I_o$$
8. This implies that the intensity of light transmitted by the analyzer is greatest when the transmission axes of the analyzer and polarizer are parallel.

Thus, the intensity of light transmitted by the analyzer is maximum when the transmission axes of the analyzer and polarizer are parallel.